The variation of force $F$ acting on a body moving along the $x$-axis with respect to its position $(x)$ is shown in the figure. The body is in a stable equilibrium state at:

If $F = 2x^2 - 3x - 2$,then select the correct statement.

The potential energy of a particle varies with distance $x$ as shown in the graph. Select the wrong statement.

Given below are two statements:
Statement $I$: An object moves from position $r_{1}$ to position $r_{2}$ under a conservative force field $\vec{F}$. The work done by the force is $W = -\int_{r_{1}}^{r_{2}} \vec{F} \cdot d\vec{r}$.
Statement $II$: Any object moving from one location to another location can follow an infinite number of paths. Therefore,the amount of work done by the object changes with the path it follows for a conservative force.
In the light of the above statements,choose the correct answer from the options given below:

The force acting on a body moving along the $x-$axis varies with the position of the particle as shown in the figure. The body is in stable equilibrium at

For a system of conservative forces,the potential energy $U$ is given by the formula $U = ax^2 - bx$,where $a$ and $b$ are constants. Determine the force $F$.